Abelian varieties over finitely generated fields and the conjecture of Geyer and Jarden on torsion

作者：Arias de Reyna Sara; Gajda Wojciech; Petersen Sebastian^*

来源：Mathematische Nachrichten, 2013, 286(13): 1269-1286.

DOI：10.1002/mana.201200217

• Abelian variety
• Galois representation
• Haar measure

In this paper we prove the Geyer-Jarden conjecture on the torsion part of the Mordell-Weil group for a large class of abelian varieties defined over finitely generated fields of arbitrary characteristic. The class consists of all abelian varieties with big monodromy, i.e., such that the image of Galois representation on -torsion points, for almost all primes , contains the full symplectic group.

• 出版日期2013-9